Q: What are the factor combinations of the number 5,142,313?

 A:
Positive:   1 x 514231311 x 46748317 x 302489107 x 48059187 x 27499257 x 200091177 x 43691819 x 2827
Negative: -1 x -5142313-11 x -467483-17 x -302489-107 x -48059-187 x -27499-257 x -20009-1177 x -4369-1819 x -2827


How do I find the factor combinations of the number 5,142,313?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 5,142,313, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 5,142,313
-1 -5,142,313

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,142,313.

Example:
1 x 5,142,313 = 5,142,313
and
-1 x -5,142,313 = 5,142,313
Notice both answers equal 5,142,313

With that explanation out of the way, let's continue. Next, we take the number 5,142,313 and divide it by 2:

5,142,313 ÷ 2 = 2,571,156.5

If the quotient is a whole number, then 2 and 2,571,156.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,142,313
-1 -5,142,313

Now, we try dividing 5,142,313 by 3:

5,142,313 ÷ 3 = 1,714,104.3333

If the quotient is a whole number, then 3 and 1,714,104.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,142,313
-1 -5,142,313

Let's try dividing by 4:

5,142,313 ÷ 4 = 1,285,578.25

If the quotient is a whole number, then 4 and 1,285,578.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,142,313
-1 5,142,313
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

111171071872571,1771,8192,8274,36920,00927,49948,059302,489467,4835,142,313
-1-11-17-107-187-257-1,177-1,819-2,827-4,369-20,009-27,499-48,059-302,489-467,483-5,142,313

More Examples

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